Question

Which of the following is a cyclic quadrilateral?

• A. Rhombus
• B. Rectangle
• C. Parallelogram
• D. Trapezium

Answer 1

Answer: (B), (D)

Rectangle
Trapezium

A cyclic quadrilateral is a quadrilateral with 4 vertices on the circumference of the circle.

Rectangle and Trapezium are cyclic quadrilaterals because their vertices lies on the circumference of a circle as shown in figure .

Since parallelogram and trapezium does not have that property that its opposite angles should add upto ${180}^o$, therefore they are not cyclic quadrilateral.

Hence, options $B$ and $D$ are correct.